Finding the Third Proportional to 327,567 and 716,238
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Solution
The third proportional to 327,567 and 716,238 is: 1,566,082.28
Step by Step Solution
- Step 1: Write the proportion equation
327,567 : 716,238 = 716,238 : x - Step 2: Convert to fraction form
327,567/716,238 = 716,238/x - Step 3: Cross multiply
327,567x = 716,238 × 716,238 - Step 4: Simplify right side
327,567x = 512,996,872,644 - Step 5: Solve for x
x = 512,996,872,644/327,567 - Step 6: Final answer
x = 1,566,082.28
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.